Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
Hi there!
Let's assume that one month is represented by the variable 'm', the amount of minutes you started with is 's', and minutes you spent is 'p'.
So, one month can be represented as 'm=s-p'.
The next month is a bit more tricky. This will incorporate 75 less minutes into the equation. 'm=s-75' can be used to represent this, as we assume that you didn't use any minutes in the first month, and that p=75 in this case.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)
From the given series:
<span>15/100,3/10,45/100,6/10,75/100
The common difference=3/10-15/100=3/20
Th e first term 15/100
thus the series is an arithmetic series which follows a general explicit formula of:
an=a+(n-1)d
thus plugging in our values,we obtain explicit formula for the series as:
an=15/100+(n-1)3/20
an=3/20n
Thus the answer is: 3/20n</span>
Answer:
X= 5, -2
Step-by-step explanation:
This would be the answer if you are looking to "solve"
